87030013381344 has 144 divisors (see below), whose sum is σ = 273689342310384. Its totient is φ = 26011460966400.

The previous prime is 87030013381163. The next prime is 87030013381379. The reversal of 87030013381344 is 44318331003078.

87030013381344 is a `hidden beast` number, since 8 + 7 + 0 + 300 + 1 + 338 + 1 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 87030013381344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187930347 + ... + 188392874.

It is an arithmetic number, because the mean of its divisors is an integer number (1900620432711).

Almost surely, 2^{87030013381344} is an apocalyptic number.

It is an amenable number.

87030013381344 is an abundant number, since it is smaller than the sum of its proper divisors (186659328929040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87030013381344 is a wasteful number, since it uses less digits than its factorization.

87030013381344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376323321 (or 376323310 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 87030013381344 in words is "eighty-seven trillion, thirty billion, thirteen million, three hundred eighty-one thousand, three hundred forty-four".